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Analytical Solutions of One-Dimensional Space-Fractional Advection–Diffusion Equation for Sediment Suspension Using Homotopy Analysis Method
Publisher: American Society of Civil Engineers
Abstract: In this study, the full analytical solution of one-dimensional space-fractional advection–diffusion equation (fADE) is derived using the homotopy analysis method (HAM). Apart from the several applications of the fADE, it ...
A Generalized Approach to Model One-Dimensional Nonmonotonous Distributions Using Renyi Entropy Theory with Applications to Open-Channel Turbulent Flows
Publisher: ASCE
Abstract: In open-channel turbulent flows, nonmonotonous distributions (e.g., velocity with dip phenomenon and type-II profiles of suspension concentration distributions) need more careful and appropriate modeling approaches ...
Hindered Settling Velocity in Particle-Fluid Mixture: A Theoretical Study Using the Entropy Concept
Publisher: American Society of Civil Engineers
Abstract: In the study of mechanics of sediment transport, settling velocity is one of the important parameters because it is needed to solve the governing equations. It has been established that the presence of particles in the ...
Direct Derivation of Streamwise Velocity from RANS Equation in an Unsteady Nonuniform Open-Channel Flow
Publisher: ASCE
Abstract: This study investigates the vertical profile of streamwise (longitudinal) velocity in an unsteady and nonuniform open-channel turbulent flow. In contrast to the previous works, a direct derivation for velocity distribution ...